Lesson 14.5 Right Triangle Trigonometry DO NOW: Find each value. A 1. Sin C = 2. Cos C = 15 17 3. Tan C = 4. Sin A = 5. Cos A = B 8 C 6. Tan A = 1. Define Sin, Cos and Tan of an angle in a right triangle. 2. How can you describe the pair of angles A and C?

1) A right triangle has sides 3, 4 and 5 1) A right triangle has sides 3, 4 and 5. Find the sin ratio for the angle opposite the side of length 3.

2) A ship leaves port and heads due north at 8 miles per hour at the same time that another ship leaves port and heads due west at 15 miles per hour. What is the angle from the second ship to the first ship measured from the line of sight to port?

3) One angle in a right triangle is 37° and the hypotenuse is 10 3) One angle in a right triangle is 37° and the hypotenuse is 10. Find the other angle and two sides.

Cofunction Identities The following pairs of trig functions are Cofunctions: sine and COsine Secant and COsecant Tangent and COtangent

4. Complete the chart below for 5 pairs of angles, where α and β are complementary. sin α cos β tan α cot β sec α csc β 32° 58° .5299

Without using a calculator, evaluate: Arccos .643 + Arcsin .643 =